Regularity results for a singular elliptic equations involving variable exponents

Abdelaziz Hellal; Rabah  Mecheter

doi:10.5269/bspm.64397

Abdelaziz Hellal Mohamed Boudiaf University of M'sila, Algeria https://orcid.org/0000-0001-8688-8415
Rabah Mecheter

Abstract

This paper is devoted to studying the existence, uniqueness and regularity of nonnegative weak solutions for a class of nonlinear singular elliptic equations with variable exponents. Our results can be seen as a generalization of some results given in the constant exponents case.

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Author Biography

Abdelaziz Hellal, Mohamed Boudiaf University of M'sila, Algeria

Obtained his Magister degree at E.N.S Kouba, Algries, Algeria, specialty of ''Functional Analysis for PDE'', was working for ENS Kouba, ENS Laghouat. He is currently University Professor Assistant for Mathematics at Med-Boudiaf-M'sila, Algeria. His main research interests are in '' Functional Analysis for Nonlinear Partial Differential Equations''. His current research activities are in the fields of '' anisotropic elliptic and parabolic equations with variable exponents ''

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